Question

finding critical points with polynomial functions (attached)

Answer 1

is it possible to use quadratic formula for this since it can't be factored...?

Answer 2

To find critical points you need to take a derivative.

Answer 3

okay, so -6x-7

Answer 4

@abb0t

Answer 5

Now, set it equal to zero and find the roots. Those value(s) are your critical point(s).

Answer 6

i found one.

Answer 7

@abb0t

Answer 8

x=-7/6

Answer 9

Yes,

Answer 10

critical point is ((-7,6),0)?

Answer 11

it's marking me wrong.

Answer 12

@abb0t

Answer 13

why is it 0 when you clearly found the value to be \(\frac{7}{6}\)...

Answer 14

that's the problem.. after i find the critical point what do i do?

Answer 15

@abb0t

Answer 16

how would i write the point?

Answer 17

That is your only critical point.

Answer 18

just plug into original function?

Answer 19

yes but it has to be written as a point @abb0t

Answer 20

Yes, plug it into original.